Question

T.L Hanna High School’s theatre department is putting on their annual play. Tickets (t

) are $12
each. Parking is $5
flat. You and your family attend the play and pay a total of $53
. Write an equation to show how many tickets did your family purchase.

Answer 1

Answer: 12t + 5 = 53

Explanation:

We know that each ticket (t) cost $12 and assuming the family park only one car, it cost $5.

So we can do 12t+5=53

Simplify

12t = 48

Simplify

t=4

Answer 2

53 = 12t + 5

Explanation:

• We can model the situation using a linear equation, where cost (C) is a function of ticket quantity (t).

• Since tickets cost $12 each, 12 is the slope in our linear equation as cost increases by $12 per each ticket purchased.

• Furthermore, the $5 is our y-intercept as you'd pay $5 even if you didn't buy any tickets

Thus, our entire equation is C(t) = 12t + 5.

• Since you and your family pay a total of $53, we'd plug in 53 for c in our linear equation, which would allow us to solve for t, the number of tickets you and your family bought to end up with a total cost of $53.

Thus, our equation to determine how many tickets your family purchased is 53 = 12t + 5.

Optional Step: Check the validity of our answer:

To check that our equation would allow us accurately determine the number of tickets your family purchased to end up with a total cost of $53, we'd need to solve the equation for t and then plug in t:

(53 = 12t + 5) - 5

(48 = 12t) / 12

4 = t

53 = 12(4) + 5

53 = 48 + 5

53 = 53

Thus, our equation is correct.